Download presentation

1
Radicals Review

2
**Pronounced: 2 times the square root of 7 OR 2 radical 7**

Parts Radical Sign Radicand – the number underneath the radical sign Coefficient Radical Pronounced: 2 times the square root of 7 OR radical 7

3
Simplest Radical Form When you cannot factor any more perfect squares from the radicand The radical cannot be simplified further We always want our answers to be in simplest radical form

4
**Getting Radicals into Simplest Radical Form**

Steps 1. Look for the largest perfect square that’s a factor of the radicand.

5
**Getting Radicals into Simplest Radical Form**

Steps 2. Factor using the perfect square as one of the factors.

6
**Getting Radicals into Simplest Radical Form**

Steps 3. Take the square root of the factor that’s a perfect square. 4

7
**Getting Radicals into Simplest Radical Form**

Steps 4. Write the square root as the factor in front of the radical and leave the other factor under the radical.

8
**Getting Radicals into Simplest Radical Form**

Steps 5. If there’s a number in front of the radical, multiply the square root by it. 3

9
**Tips for Getting Radicals into Simplest Radical Form**

Always check if the radicand is perfect square! Check if factorable by common perfect squares – 4, 9, 16, or 25 If the radicand is prime (or if its only factors are prime), then it’s in simplest radical form Be persistent! You don’t have to find the largest perfect square the first time you factor the radicand

10
Examples

11
Examples

12
Examples

13
Your Turn: Write problems 1 – 6 in simplest radical form.

14
Your Turn:

15
What about… 18 𝑥 2

16
Or… 3 25 𝑥 6

17
Or Even… 5𝑥 32 𝑥 11

18
Your Turn: 3 48 𝑚 7 𝑥 3 𝑦 5

19
**Multiplying Radicals Multiply like parts**

coefficients * coefficients radicand * radicand Simplify the radical if necessary

20
Examples

21
Examples

22
Examples

23
Your Turn:

24
Seek and Solve!!!

25
What is rationalizing? The process of algebraically removing a radical sign from one part of a fraction We generally rationalize the denominator (But we can rationalize the numerator.)

26
**Why rationalize? The result is easier to estimate and understand**

Also shows up in solving limits (in calculus)

27
**An expression with exactly one term**

Monomial An expression with exactly one term Examples: 3x –7x3 Non-Examples: 7x – 4 4y2 – 16y + 60

28
**Rationalizing the Numerator**

Exact same process as rationalizing the denominator, except that we focus on the numerator instead of the denominator. Reappears in calculus

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google